PDE-based multi-agent formation control using flatness and backstepping: analysis, design and robot experiments
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Publication:2307585
DOI10.1016/j.automatica.2020.108897zbMath1436.93007arXiv1912.10539OpenAlexW3007649046MaRDI QIDQ2307585
Gerhard Freudenthaler, Thomas Meurer
Publication date: 24 March 2020
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.10539
observertrackingfeedback stabilizationbacksteppingpartial differential equationflatnessmulti-agent systemmotion planningmobile robotsformation controldeployment
Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Automated systems (robots, etc.) in control theory (93C85) Multi-agent systems (93A16)
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Uses Software
Cites Work
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- Control of higher-dimensional PDEs. Flatness and backstepping designs.
- Synchronization in complex networks of phase oscillators: a survey
- Boundary control of coupled reaction-diffusion processes with constant parameters
- Finite-time multi-agent deployment: a nonlinear PDE motion planning approach
- Control for fast and stable laminar-to-high-Reynolds-numbers transfer in a 2D Navier-Stokes channel flow
- Tracking control for boundary controlled parabolic PDEs with varying parameters: combining backstepping and differential flatness
- Nonautonomous heat equations with generalized Wentzell boundary conditions
- Backstepping observers for a class of parabolic PDEs
- Heterophilious Dynamics Enhances Consensus
- Consensus-Based Control for a Network of Diffusion PDEs With Boundary Local Interaction
- Multi-Agent Deployment in 3-D via PDE Control
- Boundary Control of PDEs
- The Elements of Operator Theory
- Motion planning for the heat equation
- Consensus and Cooperation in Networked Multi-Agent Systems
- Global Steady-State Controllability of One-Dimensional Semilinear Heat Equations
- Trajectory Planning for Boundary Controlled Parabolic PDEs With Varying Parameters on Higher-Dimensional Spatial Domains
- Closed-Form Boundary State Feedbacks for a Class of 1-D Partial Integro-Differential Equations
- Flocking for Multi-Agent Dynamic Systems: Algorithms and Theory
- Leader-Enabled Deployment Onto Planar Curves: A PDE-Based Approach
- Flatness Based Approach to a Heat Conduction Problem in a Crystal Growth Process